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Finding the Third Proportional to 176,384 and 387,886

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Solution

The third proportional to 176,384 and 387,886 is: 852,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,384 : 387,886 = 387,886 : x
  2. Step 2: Convert to fraction form
    176,384/387,886 = 387,886/x
  3. Step 3: Cross multiply
    176,384x = 387,886 × 387,886
  4. Step 4: Simplify right side
    176,384x = 150,455,548,996
  5. Step 5: Solve for x
    x = 150,455,548,996/176,384
  6. Step 6: Final answer
    x = 852,999.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.